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141426048 = 273536949
BaseRepresentation
bin10000110110111…
…11110110000000
3100212010012001210
420123133312000
5242201113143
622011130120
73335046561
oct1033376600
9325105053
10141426048
1172916535
123b443940
13233b946a
1414ad6168
15c639033
hex86dfd80

141426048 has 64 divisors (see below), whose sum is σ = 382806000. Its totient is φ = 46245888.

The previous prime is 141426031. The next prime is 141426091. The reversal of 141426048 is 840624141.

141426048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16878 + ... + 23826.

Almost surely, 2141426048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141426048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191403000).

141426048 is an abundant number, since it is smaller than the sum of its proper divisors (241379952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141426048 is an equidigital number, since it uses as much as digits as its factorization.

141426048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7019 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 141426048 is about 11892.2684127125. The cubic root of 141426048 is about 521.0064924288.

The spelling of 141426048 in words is "one hundred forty-one million, four hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3392 5088 6784 6949 10176 13898 20352 20847 27796 41694 55592 83388 111184 166776 222368 333552 368297 444736 667104 736594 889472 1104891 1334208 1473188 2209782 2668416 2946376 4419564 5892752 8839128 11785504 17678256 23571008 35356512 47142016 70713024 141426048